What is (5-sqrt(x+2))^2 ?

The solution to (5-sqrt(x+2))^2 is x-10sqrt(x+2)+27

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify (5-sqrt(x+2))^2

simplify

(5 - x + 2)^{2}

x - 10 x + 2 + 27

Solution steps

(5 - x + 2)^{2}

Apply Perfect Square Formula:

(a - b)^{2} = a^{2} - 2 ab + b^{2}

(5 - x + 2)^{2} = 5^{2} - 2 \cdot 5 x + 2 + (x + 2)^{2}

= 5^{2} - 2 \cdot 5 x + 2 + (x + 2)^{2}

Simplify

5^{2} - 2 \cdot 5 x + 2 + (x + 2)^{2} : x - 10 x + 2 + 27

= x - 10 x + 2 + 27

- 2.515 sin (0.503 (x - 6.75))

3 (13 + 7)

- (\frac{s ^{3} + s ^{2} + 6 s - 2}{s ( s + 3 ) ( s - 1 )})

\frac{x ( 2 - x ) ^{3}}{3}

(t cos (u), t sin (u), u) \cdot (sin (u), - cos (u), t)